REVIEW 1 cited by
Simplification Rules for Birdtrack Operators
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
abstract
This paper derives a set of easy-to-use tools designed to simplify calculations with birdtrack op- erators comprised of symmetrizers and antisymmetrizers. In particular, we present cancellation rules allowing one to shorten the birdtrack expressions of operators, and propagation rules identifying the circumstances under which it is possible to propagate symmetrizers past antisymmetrizers and vice versa. We exhibit the power of these simplification rules by means of a short example in which we apply the tools derived in this paper on a typical operator that can be encountered in the representation theory of SU(N) over the product space $V^{\otimes m}$ . These rules form the basis for the construction of compact Hermitian Young projection operators and their transition operators addressed in companion papers.
Forward citations
Cited by 1 Pith paper
-
An $N$-independent tensor decomposition for SU($N$)
A new column-based Littlewood-Richardson algorithm decomposes products of SU(N) representations labeled by Young diagram pairs, valid simultaneously for all N.
Discussion (0). Sign in to comment.